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- aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _deal with Hermite’s equation: y′′−2xy′+2αy =0, −∞< x <∞. ...........(11.3.13) (e−x2H′ N)′+2Ne−x2HN =0. .................(11.3.14)Solve the given DE: y(4x + y) dx − 2(x2 − y) dy = 0 Group of answer choices a.)x2 - xy + 2ylny = cy b.)2x2 - xy + 2ylny = cy c.)2x2 + xy + 2ylny = cy d.)x2 + xy + 2ylny = cy
- O Q1 :% =x+y?, y(0)=1,findyatx =1 use h = 0.2 (use Modified Euler Method)What values of α and A make y=Acosαt a solution to y″+2y=0 such that y′(1)=3? α=A=Use Euler method to approximate the value of y(0.2), given ay' - by = kcos(cx) + mx , y(0) = 5 with Δx = 0.025 if a = 2, b = 4, k = 6, c = 2, and m = 7 Round off the final answer to five decimal places but do not round off on previous calculations.
- If the rst line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and if therst line is to pass through the origin and the second is to be parallel to the rst, what relationships mustexist among among A; B; C; D; E and F ?KE26AN L NeTAT Ay gy Gaskid b o e 1/ T s i 0 51, 7 - el » oD 3) T2v, - LAX -¥)What values of α and A make y=Acos(αt) a solution to y′′+6y=0 such that y′(1)=2?
- Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution.Given z = 3 cis 120°, find z3 using De Moivre's Theorem.For the Cauchy-Euler equation x2y''+xy'+y=x2 if you substitute z=ln(x), y'=(1/x)(dy/dz), and y''=(-1/x2)(dy/dz)+(1/x2)(d2y/dz2) into the original equation, it will transform to the equation a(d2y/dz2)+b(dy/dz)+cy=e2z Then a+b+c=? Fill in the equation mark using one of the following answer choices. (a) 0 (b) 1 (c) 2 (d) 3 (e) 4